9478

Unsolved Conjectures about Egyptian Fractions

A unit fraction has numerator 1, as in . An Egyptian fraction is a sum of unit fractions, usually distinct. For example, .
Erdös and Straus conjectured that always has a solution over integers for .
Sierpinski conjectured that always has a solution over integers for .
All have been verified for the Erdös–Straus conjecture [1], but both are still unsolved problems. The Rhind Papyrus and the Egyptian leather scroll solve many similar problems, so these can be considered among the oldest unsolved mathematical problems.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

Reference
[1] A. Swett, "The Erdos–Strauss Conjecture." (Oct 28, 1999) math.uindy.edu/swett/esc.htm.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.









 
RELATED RESOURCES
Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Powered by Wolfram Mathematica © 2014 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+